{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Holmberg\n",
    "In 1941, Erik Holmberg performed arguably the first N-body simulation on the dynamics of interacting galaxies. He used light bulbs to simulate the gravitational interaction of stars as both gravitational force and light intensity fall of as $1/r^2$ with distance. This notebook recreates Holmberg's N-body simulation. Instead of lightbulbs, we use REBOUND. More information about Erik Holmberg can be found on [wikipedia](<https://en.wikipedia.org/wiki/Erik_Holmberg_(astronomer)>). His paper can be found on [ADS](http://adsabs.harvard.edu/abs/1941ApJ....94..385H)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-09-24T14:23:10.051870Z",
     "start_time": "2023-09-24T14:23:09.708792Z"
    }
   },
   "outputs": [],
   "source": [
    "import rebound\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we setup the initial conditions of one galaxy. The velocities are chosen such that the particles are initially on approximately circular orbits. The arrangement roughly matches that of Holmberg's experiment."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-09-24T14:23:10.058351Z",
     "start_time": "2023-09-24T14:23:10.053319Z"
    }
   },
   "outputs": [],
   "source": [
    "sim = rebound.Simulation()\n",
    "\n",
    "sim.add(m=1) # central object\n",
    "\n",
    "# 4 rings\n",
    "lamps = [{\"N\": 6, \"m\": 1, \"r\": 1, \"v\": np.sqrt(4.1/2)},\n",
    "         {\"N\": 8, \"m\": 1, \"r\": 2, \"v\": np.sqrt(9/2)},\n",
    "         {\"N\": 10, \"m\": 0.7, \"r\": 3, \"v\": np.sqrt(15/2)},\n",
    "         {\"N\": 12, \"m\": 0.3, \"r\": 4, \"v\": np.sqrt(16/2)}]\n",
    "\n",
    "for l in lamps:\n",
    "    for i in range(l[\"N\"]):\n",
    "        phi = i/l[\"N\"]*2*np.pi\n",
    "        x, y = l[\"r\"]*np.sin(phi), l[\"r\"]*np.cos(phi)\n",
    "        vx, vy = l[\"v\"]*np.cos(phi), -l[\"v\"]*np.sin(phi)\n",
    "        sim.add(m=l[\"m\"], x=x, y=y, vx=vx, vy=vy)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us plot the galaxy we just created."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-09-24T14:23:10.413945Z",
     "start_time": "2023-09-24T14:23:10.290734Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, ax = plt.subplots(1, 1, figsize=(5,5))\n",
    "ax.set_aspect(\"equal\")\n",
    "coords = np.zeros((sim.N, 6))\n",
    "sim.serialize_particle_data(xyzvxvyvz=coords)\n",
    "ax.scatter(coords[:,0],coords[:,1])\n",
    "ax.quiver(coords[:,0],coords[:,1],coords[:,3],coords[:,4], alpha=0.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we add the second galaxy and put the two galaxies on a collision course. To do that, we simply copy the first galaxy and offset it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-09-24T14:23:10.561114Z",
     "start_time": "2023-09-24T14:23:10.557749Z"
    }
   },
   "outputs": [],
   "source": [
    "N = sim.N\n",
    "for i in range(N):\n",
    "    p = sim.particles[i].copy() # make a copy of the particle in the simulation\n",
    "    p.x += 8 # offset\n",
    "    p.y += 8 # offset\n",
    "    p.vx -= 6 # set up collision course\n",
    "    sim.add(p) # add the copy\n",
    "sim.move_to_com() # Move to the center of mass frame"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, let's run the simulation and take snapshots of the particle positions and velocities at 9 intervals. We set a smoothing length to smear out gravity on small scales so that close encounters between particles don't slow down our simulation. The physical size of the lightbulbs would have had the same effect."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-09-24T14:23:11.094329Z",
     "start_time": "2023-09-24T14:23:10.829736Z"
    }
   },
   "outputs": [],
   "source": [
    "sim.softening = 0.2 # smoothing length\n",
    "N = 9\n",
    "coords = np.zeros((N,sim.N,3))\n",
    "times = np.linspace(0,4.,N)\n",
    "for i,t in enumerate(times):\n",
    "    sim.integrate(t)\n",
    "    sim.serialize_particle_data(xyz=coords[i])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, let's plot the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-09-24T14:23:11.824081Z",
     "start_time": "2023-09-24T14:23:11.193361Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x1500 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, axarr = plt.subplots(3, 3, figsize=(15,15))\n",
    "for i,axs in enumerate(axarr):\n",
    "    for j,ax in enumerate(axs):\n",
    "        ax.set_aspect(\"equal\")\n",
    "        ax.set_xlim([-10,10])\n",
    "        ax.set_ylim([-10,10])\n",
    "        ax.scatter(coords[i*3+j,:sim.N//2,0],coords[i*3+j,:sim.N//2,1],facecolors='none', edgecolors='b')\n",
    "        ax.scatter(coords[i*3+j,sim.N//2:,0],coords[i*3+j,sim.N//2:,1],facecolors='b')\n",
    "        ax.set_title(\"t=%.1f\"%(times[i*3+j]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Holmberg pointed out the aparent spiral arms in the post collision snapshots in his paper. You can see them in the above plots as well. However, note that this simulation is very rudimentary and a claim that it explains the occurance of spiral arms in galaxies would not hold up. One of the most obvious shortcomes of our model is that a typical galaxy contains 100 billion stars but our model contains only 37 particles."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
